2511221152 has 96 divisors (see below), whose sum is σ = 5535734400. Its totient is φ = 1111756800.

The previous prime is 2511221129. The next prime is 2511221161.

It is a happy number.

2511221152 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2223724 + ... + 2224852.

It is an arithmetic number, because the mean of its divisors is an integer number (57663900).

Almost surely, 2^2511221152 is an apocalyptic number.

2511221152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2511221152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767867200).

2511221152 is an abundant number, since it is smaller than the sum of its proper divisors (3024513248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2511221152 is a wasteful number, since it uses less digits than its factorization.

2511221152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1302 counting only the distinct ones).

The product of its digits is 400, while the sum is 22.

The square root of 2511221152 is about 50112.0858875381. The cubic root of 2511221152 is about 1359.2363706163.

It can be divided in two parts, 25112 and 21152, that added together give a palindrome (46264).

The spelling of 2511221152 in words is "two billion, five hundred eleven million, two hundred twenty-one thousand, one hundred fifty-two".